Answer:
x ≈ 44.6°
Step-by-step explanation:
perimeter of a perfect circle: 2πr = 2π(9) = 18π
perimeter of the circle arc : 25 - 2(9) = 7
The central angle in a full circle is 360 degrees. In the segment of the circle is x degrees. The value of x is obtained using proportionality.
[tex] \frac{360}{x} = \frac{18\pi}{7} \\ \\ x = \frac{7 \times 360}{18\pi} = 44.56[/tex]
